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Finding the Fourth Proportional to 52,705.20, 72,699.78 and 36,783.84

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Solution

The fourth proportional to 52,705.20, 72,699.78 and 36,783.84 is: 50,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,705.20 : 72,699.78 = 36,783.84 : x
  2. Step 2: Convert to fraction form
    52,705.20/72,699.78 = 36,783.84/x
  3. Step 3: Cross multiply
    52,705.20x = 72,699.78 × 36,783.84
  4. Step 4: Simplify right side
    52,705.20x = 2,674,177,075.56
  5. Step 5: Solve for x
    x = 2,674,177,075.56/52,705.20
  6. Step 6: Final answer
    x = 50,738.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.